UNIVERSIDAD DE PUERTO RICO EN HUMACAO
www.uprh.edu

 

 


 DEPARTAMENTO DE FÍSICA Y ELECTRÓNICA

 

 

 

 

 

BARETTI  LECTURES ON DIFFERENTIAL EQUATIONS

by Reinaldo Baretti Machín  (UPR-Humacao) and Alfonso Baretti Huertas (PREPA)

 

Home page  www.uprh.edu/rbaretti

 19 di maggio , 2013         e-mail: reibaretti2004@yahoo.com

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  References:

1.http://www.uprh.edu/rbaretti/SolvedprobCalculusMain25mar2011.htm

2. Differential Equations  , Max Morris and Orley E. Brown

 

Foto por Yanixa Rivera.

"...dijo que para terminar el poema le era indispensable la casa,
pues en un ángulo del sótano había un Aleph. Aclaró que un Aleph es uno
de los puntos del espacio que contienen todos los puntos."
El Aleph - Jorge Luis Borges  

 

 LECTURE 1. Introduction  

 Lecture 2-   First order and first degree - Part 1

 Lecture 3-    First order and first degree - Part 2

  Lecture 4-   First order and first degree - Part 3

  Lecture 5  - First order and first degree - Part 4

  Lecture 6   - Solved Problems 

 Lecture 7   The Taylor series solution

 Lecture 8 - DE of first order but not of first degree  

  Lecture 9-Linear differential equations of order n  

 Lecture 10 - Solved Problems    

 Lecture 11 - Solutions of DE using MAXIMA  

  Lecture 12 - Non-homogeneous linear differential equations  

Lecture 13 - Cauchy's linear equation

Lecture 14 - Simultaneous linear equations  

  Lecture 15 -Taylor series solution part 2  

 Lecture 16 -Legendre polynomials  

Lecture 17 - The Bessel equation  

Lecture 18 - Sturm–Liouville theory and Hermite polynomials    

Lecture 19 - Partial Differential Equations in Physics   

Lecture 20 - Method of Runge- Kutta to fourth order  

Lecture 21-  Numerical comparison of Runge- Kutta versus Taylor series to fourth order

 Lecture 22-   Solution of second order differential equations by the Runge- Kutta method